2130762240 has 320 divisors, whose sum is σ = 7836998400. Its totient is φ = 548093952.

The previous prime is 2130762229. The next prime is 2130762241. The reversal of 2130762240 is 422670312.

2130762240 is a `hidden beast` number, since 2 + 1 + 30 + 7 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2130762241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003949 + ... + 2005011.

It is an arithmetic number, because the mean of its divisors is an integer number (24490620).

Almost surely, 2^2130762240 is an apocalyptic number.

2130762240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918499200).

2130762240 is an abundant number, since it is smaller than the sum of its proper divisors (5706236160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2130762240 is a wasteful number, since it uses less digits than its factorization.

2130762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2130762240 is about 46160.1802422824. The cubic root of 2130762240 is about 1286.8018125499.

The spelling of 2130762240 in words is "two billion, one hundred thirty million, seven hundred sixty-two thousand, two hundred forty".